Temat: 1-11 - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: $B^q$ for parabolic measures
Autorzy:: Sweezy, Caroline
Powiązania:: https://bibliotekanauki.pl/articles/1217889.pdf
Data publikacji:: 1998
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: parabolic-type measures
Lip (1,1/2) domain
good-λ inequalities
Opis:: If Ω is a Lip(1,1//2) domain, μ a doubling measure on $∂_{p}Ω, ∂//∂t - L_{i}$, i = 0,1, are two parabolic-type operators with coefficients bounded and measurable, 2 ≤ q < ∞, then the associated measures $ω_{0}$, $ω_{1}$ have the property that $ω_{0} ∈ B^{q}(μ)$ implies $ω_{1}$ is absolutely continuous with respect to $ω_{0}$ whenever a certain Carleson-type condition holds on the difference function of the coefficients of $L_{1}$ and $L_{0}$. Also $ω_{0} ∈ B^{q}(μ) $ implies $ω_{1} ∈ B^{q}(μ)$ whenever both measures are center-doubling measures. This is B. Dahlberg's result for elliptic measures extended to parabolic-type measures on time-varying domains. The method of proof is that of Fefferman, Kenig and Pipher.
Źródło:: Studia Mathematica; 1998, 131, 2; 115-135
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: The $L^p$ solvability of the Dirichlet problems for parabolic equations
Autorzy:: Tao, Xiang Xing
Powiązania:: https://bibliotekanauki.pl/articles/1206127.pdf
Data publikacji:: 2000
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: parabolic equation
$L^p$ solvability
Dirichlet problems
Lip(1,1/2) cylinder
Opis:: For two general second order parabolic equations in divergence form in Lip(1,1/2) cylinders, we give a criterion for the preservation of $L^p$ solvability of the Dirichlet problems.
Źródło:: Studia Mathematica; 2000, 139, 1; 69-80
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 3.

Tytuł:: Tauberian theorems for Cesàro summable double sequences
Autorzy:: Móricz, Ferenc
Powiązania:: https://bibliotekanauki.pl/articles/1290321.pdf
Data publikacji:: 1994
Wydawca:: Polska Akademia Nauk. Instytut Matematyczny PAN
Tematy:: double sequence
convergence in Pringsheim's sense
summability (C,1,1)
(C,1,0) and (C,0,1)
one-sided Tauberian condition of Landau and Hardy type
slow decrease
ordered linear space
Opis:: $(s_{jk}: j,k = 0,1,...)$ be a double sequence of real numbers which is summable (C,1,1) to a finite limit. We give necessary and sufficient conditions under which $(s_{jk})$ converges in Pringsheim's sense. These conditions are satisfied if $(s_{jk})$ is slowly decreasing in certain senses defined in this paper. Among other things we deduce the following Tauberian theorem of Landau and Hardy type: If $(s_{jk})$ is summable (C,1,1) to a finite limit and there exist constants $n_1 > 0$ and H such that $jk(s_{jk} - s_{j-1,k} - s_{j-1,k} + s_{j-1,k-1}) ≥ -H$, $j(s_{jk} - s_{j-1, k}) ≥ -H$ and $k(s_{jk} - s_{j,k-1}) ≥ -H$ whenever $j,k > n_1$, then $(s_{jk})$ converges. We always mean convergence in Pringsheim's sense. Our method is suitable to obtain analogous Tauberian results for double sequences of complex numbers or for those in an ordered linear space over the real numbers.
Źródło:: Studia Mathematica; 1994, 110, 1; 83-96
0039-3223
Pojawia się w:: Studia Mathematica
Dostawca treści:: Biblioteka Nauki

Artykuł

Informacja